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Finding the Fourth Proportional to 3,415.70, 5,124.24 and 1,441.33

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Solution

The fourth proportional to 3,415.70, 5,124.24 and 1,441.33 is: 2,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.70 : 5,124.24 = 1,441.33 : x
  2. Step 2: Convert to fraction form
    3,415.70/5,124.24 = 1,441.33/x
  3. Step 3: Cross multiply
    3,415.70x = 5,124.24 × 1,441.33
  4. Step 4: Simplify right side
    3,415.70x = 7,385,750.93
  5. Step 5: Solve for x
    x = 7,385,750.93/3,415.70
  6. Step 6: Final answer
    x = 2,162.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.